# Towards an UV fixed point in CDT gravity

## TL;DR

This paper investigates the phase structure of Causal Dynamical Triangulations (CDT) quantum gravity, analyzing phase transitions and their potential to define a continuum limit at an ultraviolet fixed point.

## Contribution

It provides the first detailed analysis of the phase transition between phases B and C in CDT, highlighting the possibility of a second order transition suitable for continuum limit.

## Key findings

- Transition between phases B and C is likely first order with unusual properties.
- End points of the transition line are candidates for second order phase transitions.
- Potential for defining an UV continuum limit at these critical points.

## Abstract

CDT is an attempt to formulate a non-perturbative lattice theory of quantum gravity. We describe the phase diagram and analyse the phase transition between phase B and phase C (which is the analogue of the de Sitter phase observed for the spherical spatial topology). This transition is accessible to ordinary Monte Carlo simulations when the topology of space is toroidal. We find that the transition is most likely first order, but with unusual properties. The end points of the transition line are candidates for second order phase transition points where an UV continuum limit might exist.